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Marat540 [252]
3 years ago
9

Calculate the constant of proportionality, k, for the given table.

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

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At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. F
artcher [175]

We want to find a linear equation that models the given situation.

The solution is p = $0.0001*q - $23

The general linear equation is:

p = m*q + c

Where m is the slope and c is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

m = \frac{y_2 - y_1}{x_2 - x_1}

Here we have the two points:

price = $9, boxes = 320,000

price = $8.50, boxes = 270,000

We can rewrite these as:

(320,000 , $9)

(270,000 , $8.50)

Then the slope of the line will be:

m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000}  = \$ 0.00001

Then the line is something like:

p = $0.0001*q + c

To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).

Replacing that in our equation we get:

$9 = $0.0001*320,000 + c  

$9 - $0.0001*320,000  = c = -$23

Then the linear equation is:

p = $0.0001*q - $23

If you want to learn more you can read:

brainly.com/question/11687874

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6.....................
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